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Finding the Fourth Proportional to 189,093.49, 260,949.06 and 103,052.49

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Solution

The fourth proportional to 189,093.49, 260,949.06 and 103,052.49 is: 142,212.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,093.49 : 260,949.06 = 103,052.49 : x
  2. Step 2: Convert to fraction form
    189,093.49/260,949.06 = 103,052.49/x
  3. Step 3: Cross multiply
    189,093.49x = 260,949.06 × 103,052.49
  4. Step 4: Simplify right side
    189,093.49x = 26,891,450,396.16
  5. Step 5: Solve for x
    x = 26,891,450,396.16/189,093.49
  6. Step 6: Final answer
    x = 142,212.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.